| 随机能源Logistic反馈控制系统的分岔研究 |
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| 引用本文： | 王林君,陈旭梅.随机能源Logistic反馈控制系统的分岔研究[J].数学的实践与认识,2017(9):144-148. |
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| 作者姓名： | 王林君 陈旭梅 |
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| 作者单位： | 江苏大学理学院,江苏镇江,212013 |
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| 基金项目： | 国家自然科学基金(11601192)，江苏省自然科学基金(BK20140522) |
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| 摘 要： | 建立了非线性随机动力模型—带噪声的能源Logistic反馈控制模型,应用随机平均法对随机动力模型进行了简化,得到了一个二维的扩散过程.二维过程满足Ito型随机微分方程,应用不变测度理论研究了该模型的随机分岔.最后,给出了数值实验验证了相应的结论.
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| 关 键 词： | 随机能源系统 随机分岔 不变测度 |
Stochastic Bifurcation of the Coordinated Energy Resource Logistic Feedback Control Model with Noise |
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| WANG Lin-jun,CHEN Xu-mei.Stochastic Bifurcation of the Coordinated Energy Resource Logistic Feedback Control Model with Noise[J].Mathematics in Practice and Theory,2017(9):144-148. |
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| Authors: | WANG Lin-jun CHEN Xu-mei |
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| Abstract: | A nonlinear stochastic dynamical model on energy resources supply-demand system is introduced by adding randomness to the deterministic model.Simplifying the model by the stochastic averaging method,we obtain a two-dimensional diffusion process of amplitude and phase.The invariant measure theory is applied in analyzing stochastic bifurcations of the new stochastic system.Some numerical simulations are performed to verify the theoretical predictions. |
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| Keywords: | stochastic energy system stochastic bifurcation invariant measure |
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